What is the Least Common Multiple of 71967 and 71980?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 71967 and 71980 is 5180184660.
LCM(71967,71980) = 5180184660
Least Common Multiple of 71967 and 71980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71967 and 71980, than apply into the LCM equation.
GCF(71967,71980) = 1
LCM(71967,71980) = ( 71967 × 71980) / 1
LCM(71967,71980) = 5180184660 / 1
LCM(71967,71980) = 5180184660
Least Common Multiple (LCM) of 71967 and 71980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71967 and 71980. First we will calculate the prime factors of 71967 and 71980.
Prime Factorization of 71967
Prime factors of 71967 are 3, 7, 23, 149. Prime factorization of 71967 in exponential form is:
71967 = 31 × 71 × 231 × 1491
Prime Factorization of 71980
Prime factors of 71980 are 2, 5, 59, 61. Prime factorization of 71980 in exponential form is:
71980 = 22 × 51 × 591 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 71967 and 71980.
LCM(71967,71980) = 31 × 71 × 231 × 1491 × 22 × 51 × 591 × 611
LCM(71967,71980) = 5180184660
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